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Finding the Fourth Proportional to 30,301.60, 45,452.40 and 8,413.60

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Solution

The fourth proportional to 30,301.60, 45,452.40 and 8,413.60 is: 12,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.60 : 45,452.40 = 8,413.60 : x
  2. Step 2: Convert to fraction form
    30,301.60/45,452.40 = 8,413.60/x
  3. Step 3: Cross multiply
    30,301.60x = 45,452.40 × 8,413.60
  4. Step 4: Simplify right side
    30,301.60x = 382,418,312.64
  5. Step 5: Solve for x
    x = 382,418,312.64/30,301.60
  6. Step 6: Final answer
    x = 12,620.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.